Broad is set to become the England player, above all others, Australian fans love to hate following his controversial decision not to walk in the first Ashes Test at Trent Bridge this season.
England won that Test by just 14 runs and went on to take the series 3-0, with Broad producing a match-winning return of six for 50 in their 74-run fourth Test victory in Durham last month.
But Broad's decision to stand his ground on his Nottinghamshire home ground still rankled with Australia coach Darren Lehmann, even though Australians have traditionally refrained from walking and instead waited for the umpire's decision.
Gower though suggested the best way for Broad to defuse any ill-feeling was to respond with a smile, much as Warner did when England fans made him their pantomime villain following his bar-room attack on Joe Root.
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"It will be interesting to see how it does work," Gower said yesterday.
"He (Broad) might have a tough time to start with. Not everyone will be as crass as to just pick up on those words the other day and make life hard for him all the time.
"If you go down there and you are expecting to cop a bit, and whether or not Lehmann said what he said, they would cop it anyway because it is the nature of the beast.
"But if you can run with it and smile with it to win people over and perform well it would sort out any situation.